CameraIcon

SearchIcon

MyQuestionIcon

6

You visited us 6 times! Enjoying our articles? Unlock Full Access!

Exponents with like Bases

i Simplify an...

Question

Question 2(i)
Simplify and express the result in power notation with positive exponent:

$(- 4)^{5} \div (- 4)^{8}$

Open in App

Solution

$(- 4)^{5} \div (- 4)^{8} = (- 4)^{5 - 8} [∵ a^{m} \div a^{n} = a^{m - n}] = (- 4)^{- 3} = \frac{1}{(- 4)^{3}} [∵ a^{- m} = \frac{1}{a^{m}}]$

Suggest Corrections

thumbs-up

131

Similar questions

Q. Simplify and express the result in power notation with positive exponent.

(- 4)^{5} \div (- 4)^{8}

Question 2(i)
Simplify and express the result in power notation with positive exponent:

$(- 4)^{5} \div (- 4)^{8}$

Question 2(v)
Simplify and express the result in power notation with positive exponent:

$2^{- 3} \times (- 7)^{- 3}$

Question 2(ii)
Simplify and express the result in power notation with positive exponent:

${(\frac{1}{2^{3}})}^{2}$

Question 2(iv)
Simplify and express the result in power notation with positive exponent:

$(3^{- 7} \div 3^{- 10}) \times 3^{- 5}$

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Exponents with like Bases

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon